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In this paper, the suggested similarity between micro and macro-cosmos is extended to quantum behavior, postulating that quantum mechanics, like general relativity and classical electrodynamics, is invariant under discrete scale…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Saulo Carneiro

Absolute scaling electrical with gravitational forces has remained unsuccessful until today. Using recent results on scaling spectroscopic constants, we now scale the internal electrical potential of a two particle system by its…

High Energy Physics - Theory · Physics 2007-05-23 G. Van Hooydonk

We discuss the ultraviolet fixed point of asymptotically safe dilaton quantum gravity. It differs from the Reuter fixed point by the dependence of the Planck mass on a scalar field. The gauge invariant functional flow equation in the most…

High Energy Physics - Theory · Physics 2026-05-27 Yadikaer Maitiniyazi , Christof Wetterich , Masatoshi Yamada

The hypothesis is made that, at large scales where General Relativity may be applied, the empty space is scale invariant. This establishes a relation between the cosmological constant and the scale factor of the scale invariant framework.…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-17 Andre Maeder

We argue that scale invariance is not anomalous in quantum field theory, provided it is broken cosmologically. We consider a locally scale invariant extension of the Standard Model of particle physics and argue that it fits both the…

High Energy Physics - Phenomenology · Physics 2010-08-19 Pankaj Jain , Subhadip Mitra

An overview of unified theory models that extend the standard model is given. A scenario describing the physics beyond the standard model is developed based on a finite quantum field theory (FQFT) and the group G=$SO(3,1)\otimes…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. W. Moffat

We discover that asymptotically safe quantum gravity could predict the top-quark mass. For a broad range of microscopic gravitational couplings, quantum gravity could provide an ultraviolet completion for the Standard Model by triggering…

High Energy Physics - Theory · Physics 2018-01-17 Astrid Eichhorn , Aaron Held

We present a further study of the dynamics of high-dimension fermion operators attributed to the theoretical inconsistency of the fundamental cutoff (quantum gravity) and the parity-violating gauge symmetry of the standard model. Studying…

High Energy Physics - Theory · Physics 2015-06-19 She-Sheng Xue

Using Wilsonian renormalization, we calculate the quantum correction to observable quantities, rather than the bare parameters, of the Higgs field. A physical parameter, such as a mass-squared or a quartic coupling, at an energy scale $\mu$…

High Energy Physics - Theory · Physics 2024-04-01 Kang-Sin Choi

The gauge hierarchy problem could find a solution within the scenario of asymptotic safety for quantum gravity. We discuss a "resurgence mechanism" where the running dimensionless coupling responsible for the Higgs scalar mass first…

High Energy Physics - Theory · Physics 2017-05-16 Christof Wetterich , Masatoshi Yamada

We investigate asymptotic safety of a toy model of a singlet-scalar extension of the Higgs sector including two real scalar fields under the impact of quantum-gravity fluctuations. Employing functional renormalization group techniques, we…

High Energy Physics - Theory · Physics 2018-04-05 Astrid Eichhorn , Yuta Hamada , Johannes Lumma , Masatoshi Yamada

The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local expressions. This fundamental statement plays a central role…

High Energy Physics - Theory · Physics 2024-07-30 P. M. Lavrov , I. L. Shapiro

We compute the scale-dependence of the Planck mass and of the vacuum expectation value of the Higgs field using two very different renormalization group methods: a "holographic" procedure based on Einstein's equations in five dimensions…

High Energy Physics - Theory · Physics 2020-02-26 Daniel Litim , Roberto Percacci , Leslaw Rachwal

We consider a classically scale-invariant extension of the standard model in which a dark, non-Abelian gauge symmetry is spontaneously broken via the Coleman-Weinberg mechanism. Higgs portal couplings between the dark and standard model…

High Energy Physics - Phenomenology · Physics 2013-10-02 Christopher D. Carone , Raymundo Ramos

Scale invariance supplemented by the requirement of the absence of new heavy particles may play an important role in addressing the hierarchy problem. We discuss how the Standard Model may become scale invariant at the quantum level above a…

High Energy Physics - Phenomenology · Physics 2019-06-14 Mikhail Shaposhnikov , Kengo Shimada

The scale of quantum mechanical effects in matter is set by Planck's constant, $\hbar$. This represents the quantisation scale for material objects. In this article, we present a simple argument why the quantisation scale for space, and…

General Relativity and Quantum Cosmology · Physics 2021-08-17 Matthew J. Lake

In the standard model, the weak scale is the only parameter with mass dimensions. This means that the standard model itself can not explain the origin of the weak scale. On the other hand, from the results of recent accelerator experiments,…

High Energy Physics - Theory · Physics 2020-03-18 Junichi Haruna , Hikaru Kawai

We show that the standard Lorentz transformations admit an invariant mass (length) scale, such as the Planck scale. In other words, the frame independence of such scale is built-in within those transformations, and one does not need to…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Pasquale Bosso , Saurya Das

A quantum field theory formalism is reviewed that leads to a self-consistent, finite quantum gravity, Yang-Mills and Higgs theory, which is unitary and gauge invariant to all orders of perturbation theory. The gauge hierarchy problem is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. W. Moffat

We generalize the standard model of particle physics such it displays global scale invariance. The gravitational action is also suitably modified such that it respects this symmetry. This model is interesting since the cosmological constant…

Astrophysics · Physics 2009-06-23 Pankaj Jain , Subhadip Mitra , Naveen K. Singh